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Helicity conservation via the Noether theorem

1994/07/01 by Asher Yahalom · 1 citation
Materials Science · Physics and Astronomy · #Liquid Crystal Research Advancements #Nonlinear Waves and Solitons #Quantum, superfluid, helium dynamics #nlin.SI #solv-int

paper · pdf · doi:10.1063/1.531123

7 pages of tex

arxiv created 1994/07/01 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The conservation of helicity in ideal barotropic fluids is discussed from a group theoretical point of view. A new symmetry group is introduced, i.e., the alpha group of translations. It is proven via the Noether theorem that this group generates helicity conservation.

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